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Abstract

The nonlocal scale parameter of nonlocal Euler-Bernoulli beam theory is evaluated
for the static bending of single-layer molybdenum disulfide (SLMoS2) without predetermined
bending rigidity. The evaluation is performed by matching the fitted curve between
the maximum deflection and the beam length obtained from molecular mechanics simulations.
It was observed that the fitted curves have an abnormal sign in the second-order term
of the maximum deflection for SLMoS2, opposite to that for graphene and regardless
of the interatomic interaction potentials used. Based on the nature of 'nonlocal'
and the phenomenological point of view, a modified nonlocal constitutive relation
with a positive sign in front of the higher-order term is suggested for SLMoS2. The
nonlocal parameter and the bending rigidity of SLMoS2 are finally extracted, and the
effect of the nonlocal scale parameter on the bending response for SLMoS2 is found
to be significant for beam length less than a critical length, depending on both the
interatomic interaction potentials and the boundary conditions. Our new perspective
should be useful for researchers who are interested in the engineering application
of graphene-like quasi-two-dimensional nanostructures using nonlocal beam theories.